The generator matrix

 1  0  1  1  1  1  1  3 24  1  1  1  1  3  1  1  1  1  1  0 21  1  1  1  1  1 24  1  0  1  1  1  1  1  9  1  3  1  1  1 12  3  1  3  1 15  1  1 18  1 12  1  6 18  9  3  9
 0  1  1 26 18 25 26  1  1 26 16 21  4  1 18 20 12  5 16  1  1 24  7 23 18  2  1 18  1 19 26  8  6 22  1 22  1 13 11  3  1  1  3  1  5  1 16 15  1 25  1 20  1  3  0  3  1
 0  0 24  0 18  0  0  9  0 18 18  9  9 12 21  6 24 12 24 21 15 15  6  3 12 18 24 21 12  3  6  3 15 21  0 24 21 12  3 12  6  9  6  9  6  9 24 18 12 21 18  0  6  6  3 18 12
 0  0  0  3 21 12  9  3 15  6 24  6 18 15 24 24  3 24  6  3  9 18  3 12  3 12  6 18 18 21 18 18  6  9  6 12 21 15  9  3 12 18  0  9 24 24 21  0 24 24  9 24 21  3 21 15 12

generates a code of length 57 over Z27 who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+846x^105+612x^106+720x^107+2594x^108+2646x^109+2574x^110+4674x^111+5454x^112+4482x^113+7242x^114+6768x^115+4896x^116+6302x^117+4158x^118+1746x^119+1518x^120+702x^121+162x^122+498x^123+72x^124+308x^126+72x^129+2x^135

The gray image is a code over GF(3) with n=513, k=10 and d=315.
This code was found by Heurico 1.16 in 70.4 seconds.